Professor Hwang, (rhymes with song)
Do not make travel plans that conflict with the midterm tests or your final exam. If an emergency prevents you from taking the final exam at the allotted time, speak to your Class Dean immediately to arrange for an incomplete grade, and to me to schedule a make-up exam.
The schedule below is subject to minor changes. Any substantial corrections will be announced by email and/or in class.
Day | Date | Section | Topics |
M | Aug 28 | Advising | |
W | Aug 30 | Section 1.1-1.2 | Curves, Arc Length |
F | Sep 1 | Section 1.3 | Reparametrization |
M | Sep 4 | Section 2.1 | Curvature |
W | Sep 6 | Section 2.2 | Plane Curves |
F | Sep 8 | Section 2.3 | Space Curves |
M | Sep 11 | Section 2.3 | The Frenet Formulas |
W | Sep 13 | Section 4.1 | Surfaces |
F | Sep 15 | Section 4.2 | Smooth Surfaces |
M | Sep 18 | Section 4.3 | Smooth Maps |
W | Sep 20 | Section 4.4 | Tangents and Derivatives |
F | Sep 22 | Section 4.5 | Normals and Orientability |
M | Sep 25 | Section 5.1 | Level Surfaces |
W | Sep 27 | Section 5.2 | Quadric Surfaces |
F | Sep 29 | Section 5.3 | Ruled Surfaces, Surfaces of Rotation |
M | Oct 2 | Section 5.3 | Ruled Surfaces, Surfaces of Rotation |
W | Oct 4 | Section 5.4 | Polyhedra |
F | Oct 6 | Midterm 1 | |
M | Oct 9 | Fall Break | |
W | Oct 11 | Fall Break | |
F | Oct 13 | Fall Break | |
M | Oct 16 | Section 5.4 | Compact Surfaces |
W | Oct 18 | Section 6.1 | The First Fundamental Form |
F | Oct 20 | Section 6.1 | The First Fundamental Form |
M | Oct 23 | Section 6.2 | Isometries |
W | Oct 25 | Section 6.3 | Conformal Mappings |
F | Oct 27 | Section 6.4 | Equal-area Maps |
M | Oct 30 | Section 6.5 | Spherical Geometry |
W | Nov 1 | Section 6.5 | Spherical Geometry |
F | Nov 3 | Section 7.1 | The Second Fundamental Form |
M | Nov 6 | Section 7.2 | The Gauss and Weingarten Maps |
W | Nov 8 | Section 7.3 | Normal and Geodesic Curvatures |
F | Nov 10 | Section 7.4 | Covariant Derivatives |
M | Nov 13 | Section 7.4 | Parallel Transport |
W | Nov 15 | Section 8.1 | Gaussian Curvature |
F | Nov 17 | Section 8.1 | Gaussian and Mean Curvature |
M | Nov 20 | Midterm 2 | |
W | Nov 22 | Thanksgiving | |
F | Nov 24 | Thanksgiving | |
M | Nov 27 | Section 8.2 | Principal Curvatures |
W | Nov 29 | Section 8.3 | Surfaces of Constant Curvature |
F | Dec 1 | Section 8.3 | Surfaces of Constant Curvature |
M | Dec 4 | Section 9.1 | Geodesics |
W | Dec 6 | Section 13.1 | The Gauss-Bonnet Theorem |
F | Dec 8 | Section 13.1 | The Gauss-Bonnet Theorem |